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Finding the Fourth Proportional to 12,706.25, 17,532.96 and 7,328.88

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Solution

The fourth proportional to 12,706.25, 17,532.96 and 7,328.88 is: 10,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.25 : 17,532.96 = 7,328.88 : x
  2. Step 2: Convert to fraction form
    12,706.25/17,532.96 = 7,328.88/x
  3. Step 3: Cross multiply
    12,706.25x = 17,532.96 × 7,328.88
  4. Step 4: Simplify right side
    12,706.25x = 128,496,959.88
  5. Step 5: Solve for x
    x = 128,496,959.88/12,706.25
  6. Step 6: Final answer
    x = 10,112.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.